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Reading: A Note on the Construction of a Sample Variance

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A Note on the Construction of a Sample Variance

Authors:

Nitis Mukhopadhyay ,

Department of Statistics, University of Connecticut-Storrs,, US
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Bhargab Chattopadhyay

Department of Mathematical Sciences, University of Texas at Dallas,, US
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Abstract

Mukhopadhyay and Chattopadhyay (2013) proposed a new approach to construct unbiased estimators of by U-statistics starting with a class of non-symmetric initial kernels of degree m(> 2): But, surprisingly all symmetrized final estimators in the form of U-statistics reduced to when the parent distribution function (d.f.) F remained unknown. Now, we exhibit another class of non-symmetric initial kernels to come up with U-statistics of degree m(> 2) and unbiased for : Interestingly, the associated symmetrized final U-statistics again coincide with (Theorem 2.1), settling the open question from Remark 3.1 of Mukhopadhyay and Chattopadhyay (2013).

DOI: http://dx.doi.org/10.4038/sljastats.v15i1.6795

How to Cite: Mukhopadhyay, N. & Chattopadhyay, B., (2014). A Note on the Construction of a Sample Variance. Sri Lankan Journal of Applied Statistics. 15(1), pp.71–80. DOI: http://doi.org/10.4038/sljastats.v15i1.6795
Published on 05 Apr 2014.
Peer Reviewed

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